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Finding the Third Proportional to 868,538 and 1,342,178

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Solution

The third proportional to 868,538 and 1,342,178 is: 2,074,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,538 : 1,342,178 = 1,342,178 : x
  2. Step 2: Convert to fraction form
    868,538/1,342,178 = 1,342,178/x
  3. Step 3: Cross multiply
    868,538x = 1,342,178 × 1,342,178
  4. Step 4: Simplify right side
    868,538x = 1,801,441,783,684
  5. Step 5: Solve for x
    x = 1,801,441,783,684/868,538
  6. Step 6: Final answer
    x = 2,074,108.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.